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106688437 = 4110923873
BaseRepresentation
bin1100101101111…
…10111110110101
321102202100000121
412112332332311
5204303012222
614330411541
72433560002
oct626767665
9242670017
10106688437
115524a669
122b890bb1
1319145c6b
14102528a9
1595765c7
hex65befb5

106688437 has 8 divisors (see below), whose sum is σ = 110297880. Its totient is φ = 103127040.

The previous prime is 106688431. The next prime is 106688443. The reversal of 106688437 is 734886601.

It is an interprime number because it is at equal distance from previous prime (106688431) and next prime (106688443).

It can be written as a sum of positive squares in 4 ways, for example, as 196 + 106688241 = 14^2 + 10329^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106688437 is a prime.

It is a super-2 number, since 2×1066884372 = 22764845179005938, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106688393 and 106688402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106688431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7468 + ... + 16405.

It is an arithmetic number, because the mean of its divisors is an integer number (13787235).

Almost surely, 2106688437 is an apocalyptic number.

It is an amenable number.

106688437 is a deficient number, since it is larger than the sum of its proper divisors (3609443).

106688437 is a wasteful number, since it uses less digits than its factorization.

106688437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24023.

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 106688437 is about 10329.0094878454. The cubic root of 106688437 is about 474.2847028843.

The spelling of 106688437 in words is "one hundred six million, six hundred eighty-eight thousand, four hundred thirty-seven".

Divisors: 1 41 109 4469 23873 978793 2602157 106688437